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Finding the Fourth Proportional to 38,104.50, 52,584.21 and 23,200.50

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Solution

The fourth proportional to 38,104.50, 52,584.21 and 23,200.50 is: 32,016.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,104.50 : 52,584.21 = 23,200.50 : x
  2. Step 2: Convert to fraction form
    38,104.50/52,584.21 = 23,200.50/x
  3. Step 3: Cross multiply
    38,104.50x = 52,584.21 × 23,200.50
  4. Step 4: Simplify right side
    38,104.50x = 1,219,979,964.11
  5. Step 5: Solve for x
    x = 1,219,979,964.11/38,104.50
  6. Step 6: Final answer
    x = 32,016.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.